Question

if sum of the zero and product of zero of a quadratic polynomial are equal, then what is the relation between their coefficients

Answer 1

Consider a quadratic equation ax^2 + bx + c=0 such that anot equal to 0. Sum of roots is (-b/a) and product of roots is (c/a). Given, -b/a=c/a => b+c=0

Answer 2

therefore -b/a = c/a = 0